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Finding the Third Proportional to 764,620 and 1,662,144

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Solution

The third proportional to 764,620 and 1,662,144 is: 3,613,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,620 : 1,662,144 = 1,662,144 : x
  2. Step 2: Convert to fraction form
    764,620/1,662,144 = 1,662,144/x
  3. Step 3: Cross multiply
    764,620x = 1,662,144 × 1,662,144
  4. Step 4: Simplify right side
    764,620x = 2,762,722,676,736
  5. Step 5: Solve for x
    x = 2,762,722,676,736/764,620
  6. Step 6: Final answer
    x = 3,613,196.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.